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Chinese Physics Letters

``All versus Nothing'' Inseparability for 2 n Observers

Lin-Mei Liang, Cheng-Zu Li

Published Sep 24, 2003• 0 citations
Publisher

Abstract

We present an ``all versus nothing'' to show Bell's theorem without inequalities involving 2 n observers. As a by-product, we also shows that quantum mechanics can violate Bell's inequality by a constant instead of by an amount that grows exponentially with 2 n .
DOI
10.1088/0256-307x/20/10/303

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We introduce a two-observer all-versus-nothing proof of Bell's theorem which reduces the number of required quantum predictions from 9 [A. Cabello, Phys. Rev. Lett. 87, 010403 (2001); Z.-B. Chen et al., Phys. Rev. Lett. 90, 160408 (2003)] to 4, provides a greater amount of evidence against local realism, reduces the detection efficiency requirements for a conclusive experimental test of Bell's theorem, and leads to a Bell inequality which resembles Mermin's inequality for three observers [N. D. Mermin, Phys. Rev. Lett. 65, 1838 (1990)] but requires only two observers.
Abstract The all-versus-nothing proof of Bell nonlocality is a prominent demonstration of Bell’s theorem without inequalities. There are two kinds of such proofs: the deterministic all-versus-nothing proof and the probabilistic all-versus-nothing proof, which have received extensive research attention. Traditionally, all previous deterministic all-versus-nothing proofs are constructed based on stabilizer states. However, this work presents new deterministic proofs derived from non-stabilizer states, thereby breaking away from this conventional approach. These novel results not only significantly broaden the range of demonstrations of Bell nonlocality without inequalities but also offer valuable resources for certain quantum information processing applications.